Least Common Multiple of 2907 and 2913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2907 and 2913 the smallest integer that is 2822697 that is divisible by both numbers.

Least Common Multiple (LCM) of 2907 and 2913 is 2822697.

LCM(2907,2913) = 2822697

LCM of 2907 and 2913

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2907 and 2913

LCM of 2907 and 2913 is 2822697

Least common multiple can be found by multiplying the highest exponent prime factors of 2907 and 2913. First we will calculate the prime factors of 2907 and 2913.

Prime Factorization of 2907


3 2907
3 969
17 323
19 19
1

Prime factors of 2907 are 3, 17,19. Prime factorization of 2907 in exponential form is:

2907 = 32×171×191

Prime Factorization of 2913


3 2913
971 971
1

Prime factors of 2913 are 3,971. Prime factorization of 2913 in exponential form is:

2913 = 31×9711

Now multiplying the highest exponent prime factors to calculate the LCM of 2907 and 2913.

LCM(2907,2913) = 32×171×191×9711
LCM(2907,2913) = 2822697

Factors of 2907

List of positive integer factors of 2907 that divides 2907 without a remainder.

1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907

Factors of 2913

List of positive integer factors of 2913 that divides 2913 without a remainder.

1, 3, 971, 2913

Least Common Multiple of 2907 and 2913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2907 and 2913, than apply into the LCM equation.

GCF(2907,2913) = 3
LCM(2907,2913) = ( 2907 × 2913) / 3
LCM(2907,2913) = 8468091 / 3
LCM(2907,2913) = 2822697

Properties of LCM 2907 and 2913

(i) The LCM of 2913 and 2907 is associative

LCM of 2907 and 2913 = LCM of 2913 and 2907

Related Least Common Multiples of 2907

Related Least Common Multiples of 2913

Frequently Asked Questions on LCM of 2907 and 2913

1. What is the LCM of 2907 and 2913?

Answer: LCM of 2907 and 2913 is 2822697.

2. What are the Factors of 2907?

Answer: Factors of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907. There are 12 integers that are factors of 2907. The greatest factor of 2907 is 2907.

3. What are the Factors of 2913?

Answer: Factors of 2913 are 1, 3, 971, 2913. There are 4 integers that are factors of 2913. The greatest factor of 2913 is 2913.

4. How to Find the LCM of 2907 and 2913?

Answer:

Least Common Multiple of 2907 and 2913 = 2822697

Step 1: Find the prime factorization of 2907

2907 = 3 x 3 x 17 x 19

Step 2: Find the prime factorization of 2913

2913 = 3 x 971

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2822697 = 3 x 3 x 17 x 19 x 971

Step 4: Therefore, the least common multiple of 2907 and 2913 is 2822697.